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On the exactness of soft theorems

Guerrieri, Andrea L. and Huang, Yu-tin and Li, Zhizhong and Wen, Congkao (2017) On the exactness of soft theorems. Journal of High Energy Physics, 2017 (12). Art. No. 052. ISSN 1126-6708. doi:10.1007/JHEP12(2017)052.

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Soft behaviours of S-matrix for massless theories reflect the underlying symmetry principle that enforces its masslessness. As an expansion in soft momenta, sub-leading soft theorems can arise either due to (I) unique structure of the fundamental vertex or (II) presence of enhanced broken-symmetries. While the former is expected to be modified by infrared or ultraviolet divergences, the latter should remain exact to all orders in perturbation theory. Using current algebra, we clarify such distinction for spontaneously broken (super) Poincaré and (super) conformal symmetry. We compute the UV divergences of DBI, conformal DBI, and A-V theory to verify the exactness of type (II) soft theorems, while type (I) are shown to be broken and the soft-modifying higher-dimensional operators are identified. As further evidence for the exactness of type (II) soft theorems, we consider the α′ expansion of both super and bosonic open strings amplitudes, and verify the validity of the translation symmetry breaking soft-theorems up to O(α′^6). Thus the massless S-matrix of string theory “knows” about the presence of D-branes.

Item Type:Article
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URLURL TypeDescription Paper
Wen, Congkao0000-0002-5174-1576
Additional Information:© 2017 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: August 29, 2017; Accepted: November 17, 2017; Published: December 12, 2017. We thank Massimo Bianchi, and Renata Kallosh for helpful discussion. Y-t Huang and Zhizhong Li are supported by MOST under the grant No. 103-2112-M-002-025-MY3 and the support from National Center for Theoretical Science (NCTS), Taiwan. ALG is supported by the São Paulo Research Foundation (FAPESP) under grants 2016/01343-7 and 2017/03303-1, and by the CUniverse research promotion project by Chulalongkorn University (grant reference CUAASC). The work of CW is supported in part by a DOE Early Career Award under Grant No. DE-SC0010255.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Ministry of Science and Technology (Taipei)103-2112-M-002-025-MY3
National Center for Theoretical Sciences (Taiwan)UNSPECIFIED
Fundação de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP)2016/01343-7
Fundação de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP)2017/03303-1
Chulalongkorn UniversityCUAASC
Department of Energy (DOE)DE-SC0010255
Subject Keywords:Scattering Amplitudes, Spontaneous Symmetry Breaking, Effective Field Theories
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Issue or Number:12
Record Number:CaltechAUTHORS:20170602-111742281
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Official Citation:Guerrieri, A.L., Huang, Y., Li, Z. et al. J. High Energ. Phys. (2017) 2017: 52.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77918
Deposited By: Joy Painter
Deposited On:02 Jun 2017 18:23
Last Modified:15 Nov 2021 17:35

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